"说话粗鄙恶劣的" can be translated into English as "vulgar and abusive in speech" or "using foul and offensive language".
Here are a few example sentences to illustrate the usage:
1、 He is known for being vulgar and abusive in speech, often using inappropriate language in public.
（他以说话粗鄙恶劣著称，经常在公共场合使用不恰当的语言。）
2、 It's unacceptable to use such foul and offensive language in a formal setting.
（在正式场合使用如此粗鄙恶劣的语言是不可接受的。）